{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.7/site-packages/qiskit/providers/ibmq/ibmqfactory.py:192: UserWarning: Timestamps in IBMQ backend properties, jobs, and job results are all now in local time instead of UTC.\n",
      "  warnings.warn('Timestamps in IBMQ backend properties, jobs, and job results '\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "# Importing standard Qiskit libraries and configuring account\n",
    "from qiskit import QuantumCircuit, execute, Aer, IBMQ\n",
    "from qiskit.compiler import transpile, assemble\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "# Loading your IBM Q account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set our secret string to ‘011’\n",
    "shh = '011'\n",
    "\n",
    "# Creating registers\n",
    "# Set the input qubit register size equal to the length of s\n",
    "input_qubits = len(str(shh))\n",
    "# Set the total qubits equal to twice the size of input qubits\n",
    "total_qubits = 2*input_qubits\n",
    "\n",
    "# Create the quantum circuit\n",
    "qc = QuantumCircuit(total_qubits)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 261.177x385.28 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply Hadamard gates before querying the oracle\n",
    "qc.h(range(input_qubits)) \n",
    "qc.barrier()\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 682.577x385.28 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create the oracle function of our secret string \n",
    "# Since we are only setting the last two qubits, \n",
    "# we will only apply cx gates to the last two. \n",
    "for idx in range(input_qubits):\n",
    "    if(shh[idx] == '1'):\n",
    "        for count in range(input_qubits):\n",
    "            qc.cx(idx, input_qubits + count)\n",
    "\n",
    "qc.barrier()\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1194.46x445.48 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply Hadamard gates to the input register\n",
    "qc.h(range(len(str(shh))))\n",
    "\n",
    "# Measure ancilla qubits\n",
    "qc.measure_all()\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counts:  {'000000': 257, '111000': 251, '111110': 255, '000110': 261}\n"
     ]
    }
   ],
   "source": [
    "# Execute the quantum circuit on the simulator\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "shots = 1024\n",
    "results = execute(qc, backend=backend, shots=shots).result()\n",
    "counts = results.get_counts(qc)\n",
    "\n",
    "# Print results\n",
    "print('Counts: ', counts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sub results {'000': 508, '110': 516}\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a new object to store the input register counts\n",
    "sub_results = {}\n",
    "# Loop through each of the count keys and extract the \n",
    "# the input register and their respective counts. \n",
    "for count in counts.keys():\n",
    "    rev_count_key = count[::-1]\n",
    "    input_count = count[input_qubits:]\n",
    "    count_value = counts[count]\n",
    "    if input_count in sub_results:\n",
    "        sub_results[input_count] += count_value\n",
    "    else:\n",
    "        sub_results[input_count] = count_value\n",
    "\n",
    "# Print and plot the results\n",
    "print('sub results', sub_results)\n",
    "plot_histogram(sub_results)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Initialize the 3-qubit quantum circuit\n",
    "# Set the state '110'\n",
    "s = '110'\n",
    "num_qubits = len(s)\n",
    "qc = QuantumCircuit(num_qubits)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 261.177x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Set reverse ordering\n",
    "s = s[::-1] \n",
    "\n",
    "# Construct the state 110\n",
    "for idx in range(num_qubits):\n",
    "    if s[idx] == '1':\n",
    "        qc.x(idx)    \n",
    "\n",
    "qc.barrier()\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f18b9c2fed0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Import the value pi for our rotations\n",
    "from numpy import pi\n",
    "\n",
    "# Always start from the most significant qubit, \n",
    "# in this case it's q2.\n",
    "# Step 1, add a Hadamard gate\n",
    "qc.h(2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f18b8eb4290>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Step 2, add CROT gates from most significant qubit \n",
    "qc.cu1(pi/2, 1, 2)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 562.177x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Step 3, add another CROT from 2 to the next qubit down,\n",
    "# while doubling the phase denominator\n",
    "qc.cu1(pi/4, 0, 2)\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f18b8e2d290>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Now that we finished from 2 down to 0\n",
    "# We'll drop to the next least significant qubit and start again, \n",
    "# Step 1, add a Hadamard gate\n",
    "qc.h(1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 742.777x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Step 2, add Control Rotation (CROT) gates from most significant towards \n",
    "# least significant starting a pi/2, and doubling the denominator \n",
    "# as you go down each qubit. \n",
    "qc.cu1(pi/2, 0, 1)\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 802.977x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Step 1, add a Hadamard gate\n",
    "qc.h(0)\n",
    "# Since we are at the least significant qubit, we are done!\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define a function which will add the swap gates to the outer \n",
    "# pair of qubits\n",
    "def add_swap_gates(qc_swaps, qubits):\n",
    "    for qubit in range(qubits//2):\n",
    "        qc_swaps.swap(qubit, qubits-qubit-1)\n",
    "    return qc_swaps\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAApoAAACoCAYAAABAIU5wAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/d3fzzAAAACXBIWXMAAAsTAAALEwEAmpwYAAAdyUlEQVR4nO3dfXRU5aHv8e9MCIme2BJMFYnyEt6SjGSUtwo1JHShBZY9yRHEpuKi6F3QENoL53Bsr1CRBWW1mBJvrWDvOSitVqoJvtAusGJhBlAqhJcQUnCEhJcgNUFCD0EISWbuHyMBhCQTyd7PZPL7/AOz95PsX7aG/LKfvZ9xBAKBACIiIiIi7cxpOoCIiIiIRCYVTRERERGxhIqmiIiIiFhCRVNERERELKGiKSIiIiKWUNEUEREREUuoaIqIiIiIJVQ0RURERMQSKpoiIiIiYgkVTRERERGxhIqmiIiIiFhCRVNERERELKGiKSIiIiKWUNEUEREREUuoaIqIiIiIJVQ0RURERMQSKpoiIiIiYgkVTRERERGxhIqmiIiIiFiii+kAEhkOHDjQ4v7f/OY3zJo1q8UxycnJ7RlJREREDNMVTbHF888/bzqCiIiI2ExFU0REREQsoaIpIiIiIpZQ0RRbFBUVmY4gIiIiNlPRFBERERFLqGiKLSZNmmQ6goiIiNhMyxuJiIiIcW8Uw/Ea+4+bGA8PDrP/uJ2FiqaIiIgYd7wGDlWZTiHtTVPnYou8vDzTEURERMRmKppii9beFUhEREQij4qm2GL06NGmI4iIiIjNVDTFFtXV1aYjiIiIiM1UNEVERETEEiqaYovU1FTTEURERMRmKppiizVr1piOICIiYruDn8KhT0MfX1wBJ89Yl8duKppii6eeesp0BBEREVudOA3/bxP81hNa2dx2EF75AJ5/D87XW53OHiqaYovCwkLTEUTCnr8RPv0IPt4MB7fAZ4chEDCdSsLJmSoo/wA+9sLxvdBQZzqRtOTWr0FaL7jQ0HrZ3HYQXvsw+PfRyRAbbUtEy4V10fT7/eTn5zNgwABiY2Nxu914vV4GDRrE9OnTTccTEWk3nx2GLb+F0j/Bke1w+EPYXQTbXoRaLdrQ6V04Cztfgw9/HyyaR3bA/ndh8wo4tst0OjOKFmey/a3FIW83wemE798Dw/q2XDYvL5lZQ2BMiq0xLRXWRfPxxx9n0aJFzJgxg/Xr1zN58mRycnIoLy9n6NChpuOJiLSL08dhzxtQf+7qfZ+fhuLX4Nxpu1NJuGish52FUHPs6n3+BvhoI1SW2J9LQtNa2Yzkkglh/F7nq1evZtWqVXg8HjIyMgAYM2YMu3bt4o033mDIkCGGE0pbeL1e0xFEwtbBLV9MkV9rmjwADefh8A5Iuc/uZBIO/rEfzp5seczBLdDTBc6w/aneuV0smxB82Oe3HpiRCVVnIrtkQhhf0VyyZAnjxo1rKpkX9e/fn+joaNLS0gA4fPgwGRkZDBw4kMGDB7NlyxYTcaUVZWVlpiOIhKXPT8PpSq5dMi9zoix4D6d0Psf3Ao6WxzSch+pyW+LIV/TlK5srNkZ+yYQwvaJZWVnJvn37mDNnzlX7jh49isvlIiYmBoAZM2bw8MMPM3PmTD744AMeeughKioq6Nq1a7tkcTha+e4WgGv+t7pcQUFBSGNEOpu0pNH8Krf1K/7+Bri5262crq2yIZWEk9d+9gndv3Zbq+Nm/q85vLHlWesDWWTivE3cnpLZpo/Z/vbP2bku/4pt9edr6XXn2JA/h9fr4cf3j2nTca+Hw+Hkoae2ctuAkQCUbHie/ztllm3Hbw+BNjylGLZFE6BHjx5XbD937hxer5fx48cDcPLkSbZu3cratWsBGDVqFD179mTTpk185zvfsTe0iMhXcPb8P0Ma5/c3cr6u1uI0Eo7Onv8n8TfdisPR8iRkqP8vRZIRWfMYkT3/im1FizPNhAlRasZjTSUTICV9Kr6/vcYnH0XmjGxYFs2EhAQAfD4fEyZMaNq+dOlSTpw40fQg0NGjR7n11lubrm4C9O3blyNHjrRblra09s7swIEDLe4vKChodaWAZcuWtWckkQ4hEIAPVrbysI8DbhkQxbkLZ+2KJWHk0PtQsa3lMQ4nrPW8SNcbX7QnlAWe2wCHDFywz8jIpGixPT/rL3/w56KusXE8snAzMzKh3622xLBVWN6jmZSURFpaGkuWLOH3v/89f/3rX8nNzeXFF4PfQHrivONZuHCh6QgiYcnhgL7fbGVQAHoPtyWOhKHb3RDVlRbv00x0Q9cbbYskX8GXny6/qLWljzq6sCyaTqeTwsJCXC4Xubm5TJs2jYSEBPLy8oiKimp6EKhXr158+umn1NVdWrG2oqKC3r17m4ouzZg8ebLpCCJhq+dgSBp17X0OB7gmQPzt9maS8BETB0MmQZcvP3rwRfH8xgAYmGl3KmmLlpYwCmWdzY7MEehAc8OPPvooJSUl7N27t2nb/fffT3Z2dtPDQJMmTeLw4cPt9jCQhKa1qfOUlBT279/f4pjk5OT2jCTS4dRWQ+WeS2si9vkmJKbBDV83GkvCRP354OoDvk3B17cmB///iL8j+AtJR2dq6rzfLfAjC5cOa65kzv5D8M9nHwG/H179W3Dpo65diKhp9LC8otmc4uLiq6bNX3jhBf74xz8ycOBApk+fzurVq1UyRaRDivsGJF/2A69/ukqmXBIdC70u+xE4+AHo3isySmak+qQmtCWMvrz00crNkfNe52H5MNC11NbW4vP5mDlz5hXbk5KS2Lx5s6FUIiIiItfWMx7+9e7gLwOtrZN5sWxGR8Gdt0fOe513mKIZFxdHY6NWK+6oMjMzTUcQERGx3bdTQx/rdMLDrT0c2MF0qKlz6bhWrFhhOoKIiIjYTEVTbJGbm2s6goiIiNhMRVNs4fF4TEcQERERm6loioiIiIglVDRFRERExBIqmmKL1hZrFxERkcjTYZY3ko7t9ddf19tQiohIsxLjO9dxOwsVTbHFggULVDRFRKRZDw4znUCsoKlzEREREbGEiqaIiIiIWEJFU2yxfPly0xFERCKax+Nh/vz5Ta+ffvrpVtcwzs/PZ/fu3c3uP378OOPHj2fUqFHce++9zJkzB4CSkhKWLl3aLrklsqloii1cLpfpCCIichm/38/777/P3Xff3eyYDRs2MGXKFDZu3MjWrVupqqqitLQUt9vNtm3bCAQCNiaWjkhFU2yRkZFhOoKIiFympKSE/v37A8GrofHx8WRmZtK7d2+ysrIA8Hq9ZGVlERsbC0B0dDRRUVEADBgwoMWroSKgoikiItIpffzxx/Tp0weA0aNHM2LECDweDxkZGSxfvpxAIMDZs2eJi4sDYO/evVRXV5OamgpAUlISBw4cMBVfOggVTbHF8OHDTUcQEYlosbGx1NXVNb0+f/48DoeD7OzsVgtheXk5SUlJABw7dozExERKSkpwu90AnDp1ilmzZrFy5UrrvgCJSCqaYosdO3aYjiAiEtEuTmX7/X78fj+7du1i8ODBZGdnNzv+8OHDAJSVleFyuWhsbMTpDFaDDRs2cN9999HQ0MCUKVPIz8+nR48eTR9fXl5OcnKy1V+WdHAqmiIiIhHg5ptvZuLEiaSnp5Oens6kSZPo3r17s+Pdbjc+nw+4VDTr6uqoqqrixIkTFBcXM2zYMAoLC9mxYwdPPPEEmZmZbNu2DQCfz8ddd91lx5cmHZjeGUhERCRC5Obmkpub2/T6yJEjvPvuu/h8PhYsWEBMTEzTPqfTSXp6Ort37+bJJ59s2l5aWgrAxIkTcTqd5OTkkJOTc8VxSkpKGDlyZNPVT5HmqGiKLYqKikxHEBHpdHr37s2rr77a7P65c+c2u6+ltw12u91N92+KtES/ioiIiIiIJVQ0xRaTJk0yHUFERERspqlzA/7jo79TcuaMkWO7b7qJXw1KNXJsEem83iiG4zVmjp0YDw8OM3Nskc5ORdOAkjNn2FxzynQMERHbHK+BQ1WmU4iI3TR1LrbIy8szHUFERERspqIptpg1a5bpCCIiImIzFU2xxejRo01HEBEREZupaIotqqurTUcQERERm6loioiIiIglVDTFFqmpWlJJRESks1HRFFusWbPGdAQRERGxmYqm2OKpp54yHUFERERspqIptigsLDQdQa5DIAAXzsGFz4N/FxHz/I2mE4i0LqyLpt/vJz8/nwEDBhAbG4vb7cbr9TJo0CCmT59uOp5IxPP74dgu2PYibH4eNi+HD/4bjhTrh5yI3U6Ww87XLr32Pg8+D9SdNRZJpFVhXTQff/xxFi1axIwZM1i/fj2TJ08mJyeH8vJyhg4dajqebQL19dT/cBaNv/2vK7Y3vvkW9VOmEqitNZRMIpnfD3vfho82wueXvUf1uX/Cxx7Y86bKplinaHEm299aHPL2SHdkB+x5A2oqL21rvABHi2H7y8HvS5FwFLZFc/Xq1axatYq1a9cyd+5cxowZw7x58xg5ciQNDQ0MGTLEdETbOKKj6fLT/8T/53X4d+8BIFBRgf/F3xH1xFwccXFmA4bA6/WajiBtdGwnnDzU/P5Th+Hwh7bFEem0/ucf8PHFf0KvcetK3VkoW29rJJGQhW3RXLJkCePGjSMjI+OK7f379yc6Opq0tDQg+JDJwIEDcTqdFBUVmYhqC0ef3jgfm0pjfgGBU6do+MUzOLO+izNtsOloISkrKzMdQdog8MWUeWsq9+iqpojVju0GHC0MCMDpSqjV+2JIGOpiOsC1VFZWsm/fPubMmXPVvqNHj+JyuYiJiQFg3Lhx/OAHP+Cxxx6zJIvD0dJ391cT9cwvcLrT2vxxzuwsAtuLaZiRB99IwDn10TZ/Do/Hg2P4PW3+uNZc67/V5QoKCkIaI+GhR3wfXn6yotVxFz6Hvj1TOVq134ZUnceGZ4KXraz498eUifM2cXtKppFje70efnz/GCPHbg9/mHeEW7r1anXcI9l5rP1guQ2JpD3871c67vd5oA1PhYZt0QTo0aPHFdvPnTuH1+tl/PjxTdtGjRplazaTHA4HjrTBBHbuwvm9yTiio01HkgjldEZZMlakLba//XN2rsu/Ylv9+Vp63TnWUCIznI7QvsdCHSdip7AsmgkJCQD4fD4mTJjQtH3p0qWcOHHC1geB2tLaQzW2+EM215xqe5aKCvyv/hHnww/hf+VVnOnfwnHLLW36HJmZmbxnwdd04MCBFvcXFBS0ulLAsmXL2jOSXAd/I2xeAQ3nWx4XFQ0Hj5YSpd952tV7X3QrK/79MeW5DXCoqm0fMyJrHiOy51+xrWhxZpuPnZGRSdHijnsuS96C6kNc8/7My7302q95M/HXdkSSdjD7D8E/I+n7/FrCsmgmJSWRlpbGkiVL6N69O4mJiRQVFbFu3TqATvXE+UWBC/XB+zIfzCZq2lQCNTU0PrOMqF8uweEM21ttmyxcuNB0BGkDZxTcngaHt7c8rudgVDJFLHb7XVB9sIUBDviX7vD1nnYlEgldWDYUp9NJYWEhLpeL3Nxcpk2bRkJCAnl5eURFRTU9CNSZ+F98CUeXLjgffQSAqJk/JPCPT/GvedNwstBMnjzZdARpoz73QNw3mt//LzdDUue5c0XEmO69IdHdzE4HRHUB13jogLf6SScQllc0AQYOHMimTZuu2Pboo4+SmprKDTfcYCiVGf7de/Cve4cuz/8aR5fgfzLHjTcS9ZO5NP6f+TiHDcHRt6/hlC1LSUlh/349MNKRdOkKw74HB7fAJ/vA3xDc7uwCt7mgfzpEx5rNKNIZOByQPDZ41fLIDqi7bOnkhL7QLx1uauGXQhGTwrZoXktxcTH33HPlE9M/+9nPeOmll6iurqa0tJTZs2fj9Xrp16+foZTtz3n3XTjXvnH19jtdOP/UMa5oSsfUJSb4A67/aPB8cevX6NzgdhErTZrvadP2SOdwQK+hcMfdcKYKGuvhhm4Qe5PpZCItC8up82upra3F5/NdtVD7okWLqKyspK6ujs8++4zKysqIKpki4aBL18v+rpIpYozDCV/rAfF3qGRKx9BhrmjGxcXR2KiVoTuqzMxM0xFERETEZh3miqZ0bCtWrDAdQURERGymoim2yM3NNR1BREREbKaiKbbweDymI4iIiIjNVDRFRERExBIqmiIiIiJiCRVNsYUWaxcREel8VDTFFq+//rrpCCIiImKzDrOOZiRx32RulV1Tx16wYIHe71ykE0uM75zHFunsVDQN+NWgVNMRRERs9eAw0wlExARNnYuIiIiIJVQ0xRbLly83HUEs4vF4mD9/ftPrp59+utV1U/Pz89m9e3ez+48fP8748eMZNWoU9957L3PmzAGgpKSEpUuXtkvujsiqcz179mwACgoKuPfee5v2dfbzLSLXT0VTbOFyuUxHkDDh9/t5//33ufvuu5sds2HDBqZMmcLGjRvZunUrVVVVlJaW4na72bZtG4FAwMbEHVeo5/q+++6jrq6OPXv2XLFP51tErpeKptgiIyPDdAQJEyUlJfTv3x8IXqGLj48nMzOT3r17k5WVBYDX6yUrK4vY2FgAoqOjiYqKAmDAgAEtXqGTS0I91xkZGaxcuZKpU6de9Tl0vkXkeqhoioitPv74Y/r06QPA6NGjGTFiBB6Ph4yMDJYvX04gEODs2bPExcUBsHfvXqqrq0lNDT5El5SUxIEDB0zF71BCPdcxMTF4PB6+/e1vX/U5dL5F5HqoaIrIdYmNjaWurq7p9fnz53E4HGRnZ7daUMrLy0lKSgLg2LFjJCYmUlJSgtvtBuDUqVPMmjWLlStXWvcFdCBWneuXX36Z73//+5ZmF5HOSUVTbDF8+HDTEcQiF6dW/X4/fr+fXbt2MXjwYLKzs5sdf/jwYQDKyspwuVw0NjbidAb/Obp4z2BDQwNTpkwhPz+fHj16NH18eXk5ycnJVn9ZYcmqc/3RRx+xYsUKxo0bR1lZGc8991zT5+jM51tErp+Kpthix44dpiOIRW6++WYmTpxIeno66enpTJo0ie7duzc73u124/P5gEvlp66ujqqqKk6cOEFxcTHDhg2jsLCQHTt28MQTT5CZmcm2bdsA8Pl83HXXXXZ8aWHHqnP9y1/+kr/85S+88847uFwufvSjHzV9js58vkXk+mnBdhG5brm5ueTm5ja9PnLkCO+++y4+n48FCxYQExPTtM/pdJKens7u3bt58sknm7aXlpYCMHHiRJxOJzk5OeTk5FxxnJKSEkaOHNl0Ra4zsuJcX27r1q1Nf9f5FpHr5Qho3QppB63dH5aSksL+/ftbHKPpufD2Xn7wz7FzzeboDHSuRSLf7D8E/3z2EbM5rKZfU8UWRUVFpiOIiIiIzVQ0RURERMQSKppii0mTJpmOICIiIjbTw0AG/MdHf6fkzBkjx3bfdBO/GpRq5NgmvFEMx2vMHDsxHh4cZubYIiIi4UBF04CSM2fYXHPKdIxO4XgNHKoynUJERKRz0tS52CIvL890BBEREbGZiqbYYtasWaYjiIiIiM1UNMUWo0ePNh1BREREbKaiKbaorq42HUFERERspqIpIiIiIpZQ0RRbpKZ2niWVREREJEhFU2yxZs0a0xFERERsV3IU9h4Lffym/ebWf7aCiqbY4qmnnjIdQURExFaf1MDvtsKqLaGVzb+Uwtu7YMVf4Xy99fnsENZF0+/3k5+fz4ABA4iNjcXtduP1ehk0aBDTp083HU/aoLCw0HQE+YoaL8DxvZdeV+6BhgvG4kS0+vNwdNel15+UQWODuTwicn1u6wYZyeAPtF42/1IK6/eCA8geCrHRdqW0VlgXzccff5xFixYxY8YM1q9fz+TJk8nJyaG8vJyhQ4eajmebQH099T+cReNv/+uK7Y1vvkX9lKkEamsNJYs8RYsz2f7W4pC3R7qTFbD5Bdj/7qVtB96DLSug6qC5XJHoxN9hywvg23hp29/Xw9YXoKYN024iEj4cDvjXu2FMSstl8/KS+cgoGNbX9qiWCduiuXr1alatWsXatWuZO3cuY8aMYd68eYwcOZKGhgaGDBliOqJtHNHRdPnpf+L/8zr8u/cAEKiowP/i74h6Yi6OuDizASUi/fMElLwZvKL5ZY31sPdtqKm0P1ckOlkOZevAf42rl/V1sHsN1J60P5eIXL/WymYkl0wI46K5ZMkSxo0bR0ZGxhXb+/fvT3R0NGlpadTU1PDAAw8wcOBA3G43999/PwcPRuZlFkef3jgfm0pjfgGBU6do+MUzOLO+izNtsOloIfF6vaYjSBtV/A0CgZbHlG+zJ0ukO/Q+wZ8y1xIAfyMc2W5nIhFpT9cqmxdFcsmEMC2alZWV7Nu3j4ceeuiqfUePHsXlchETE4PD4WD27Nn4fD5KSkp44IEHmDZtmoHE9nBmZ+HodQcNM/IgKgrn1EdNRwpZWVmZ6QjSBvXn4OQhoKWiGYCaI1CnOzeuy9nP4MyntHqu/3FA92uKdGRfLptN24nckgnQxXSAa6msDM7H9ejR44rt586dw+v1Mn78eAC6devG2LFjm/aPGjWKpUuXtmsWh6O5ywxfXdQzv8DpTvtKWRxpgwns3IXze5NxRLf9TmGPx4Nj+D1t/rjWzJkzp8X9BQUFIY1pbxPnbeL2lMw2fcz2t3/OznX5V2yrP19LrzvHNvMR1+b1evjx/WPa9DHhIjFhAKt+4gtprGvQXRz6pMTiRJErLWk0v8pt/Yp/wA8J8bdyurbKhlQiYqWHfraFnoPuBWDn+gKenfLvhhO1TaC16a7LhGXRTEhIAMDn8zFhwoSm7UuXLuXEiRPNPgj07LPPkp2dbUdEIwIVFfhf/SPOhx/C/8qrONO/heOWW0zHijgjsuYxInv+FduKFmeaCWPImc9PhTz2n2d18+D1CPX8NTTW8/n5/7E4jYhYbUT2/KaSCeC+bxbHD3gp3/m2wVTWCcuimZSURFpaGkuWLKF79+4kJiZSVFTEunXrAK5ZNBcuXMjBgwfZuHHjVfuuR1tae6jGFn/I5prQf5ADBC7UB+/LfDCbqGlTCdTU0PjMMqJ+uQSHM/Q7IDIzM3nPgq/pwIEDLe4vKChodUmqZcuWtWckAJ7bAIcMXQDKyMikaHH7n2u77C6Cz47Q/JSuA7olQvVpPRF0PQIB+NvvglPoLZ3rRFc0dfXn7IwmIu3s8gd/vj8SPjkNm/ZHk/Xvb/GDdEi7w3TC9heW92g6nU4KCwtxuVzk5uYybdo0EhISyMvLIyoqirS0K6edFy9ezJ///GfeeecdbrzxRkOpreV/8SUcXbrgfPQRAKJm/pDAPz7Fv+ZNw8lCs3DhQtMRpI36tnaHRSCEMdIqhwP6fYsW79F0OKD3cNsiiYgFvvx0+fCk0JY+6ujCsmgCDBw4kE2bNnH27FmOHj3KokWLKC0tJTU1lRtuuKFp3MKFC/nTn/7Ehg0b6Natm7nAFvLv3oN/3TtE/fQJHF2CF6EdN95I1E/m4v/9KwQqKgwnbN3kyZNNR5A26nY7DP4uOKO+2OCg6clohxNcE+DmPobCRZhbBkDy2GChBK4411HR4P43+NqtptKJyPVqbgmjUNfZ7MgcASvmhi2SkpLCPffcw0svvQQEn2S+88476devH3GXrSW5Z88eQwlD81WmztvL6PjuvDfsm+3+eVubOk9JSWH//v0tjklOTm7PSIDZqfN+t8CP7jNz7PZ04Ryc2AenPwEC8PXboOdg6BqZkwdG1dXC8dIvnkJ3QPwd0NMFXWJMJxORryqUdTIDAVi7O/g+504HETWNHpb3aF5LbW0tPp+PmTNnNm1zuVyW3EMpIpd0vSE4bdvbdJBOICYOkkaaTiEi7eWTGngnhHUyL17ZhGDZfO1DGNgjMt6GssMUzbi4OBobG03HEBEREQlJz3jIGRm8StnaOpkXy2bXLpB8W2SUTOhARVM6tszMTNMRREREbDciKfSxDgeMb/sy22EtbB8GksiyYsUK0xFERETEZiqaYovc3FzTEURERMRmKppiC4/HYzqCiIiI2ExFU0REREQsoaIpIiIiIpZQ0RRbtLZYu4iIiEQeLW9kgPummzrdsV9//XUjb0OZGG/7IcPi2CIiIuGgQ70FpYSvcH0LShERETFHU+ciIiIiYgkVTRERERGxhIqm2GL58uWmI4iIiIjNVDTFFi6Xy3QEERERsZmKptgiIyPDdAQRERGxmYqmiIiIiFhC62hKu2htaaIFCxZo+SIREZFORutoioiIiIglNHUuIiIiIpZQ0RQRERERS6hoioiIiIglVDRFRERExBIqmiIiIiJiCRVNEREREbGEiqaIiIiIWEJFU0REREQsoaIpIiIiIpZQ0RQRERERS/x/Rx4wJtdbviEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 863.177x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qft_circuit = add_swap_gates(qc, num_qubits)\n",
    "qft_circuit.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x288 with 3 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Get the state vector simulator to view our final QFT state\n",
    "backend = Aer.get_backend(\"statevector_simulator\")\n",
    "\n",
    "# Execute the QFT circuit and visualize the results\n",
    "statevector = execute(qft_circuit,       \n",
    "                   backend=backend).result().get_statevector()\n",
    "plot_bloch_multivector(statevector)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x504 with 2 Axes>"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_state_qsphere(statevector)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Aqua: Shor's algorithm\n",
    "Running Shor's algorithm to factor two numbers. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import Shor’s algorithm library\n",
    "from qiskit.aqua.algorithms import Shor\n",
    "\n",
    "# Import the QuantumInstance module that will allow us to run the algorithm on a simulator and a quantum computer\n",
    "from qiskit.aqua import QuantumInstance\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Declare the product 'N', and our base 'a'\n",
    "N = 21\n",
    "a = 3\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Configure backend simulator parameters\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "shots = 1024\n",
    "\n",
    "# Initialize the QuantumInstance object which will execute \n",
    "# Shor’s algorithm\n",
    "qi = QuantumInstance(backend=backend, shots=shots) \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "shors_algorithm = Shor(N=N, a=a, quantum_instance = qi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "results = shors_algorithm.run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Declare the product 'N', and our base 'a'\n",
    "N = 21\n",
    "a = 2\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "results = shors_algorithm.run()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[3, 7]]\n"
     ]
    }
   ],
   "source": [
    "print(results['factors'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Grover's Algorithm\n",
    "Implementing Grover's algorithm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 261.177x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Set the state we wish to search \n",
    "N = '110'\n",
    "num_qubits = len(N)\n",
    "\n",
    "# Create the quantum circuit \n",
    "qc = QuantumCircuit(num_qubits)\n",
    "\n",
    "# Set all qubits in superposition\n",
    "qc.h(range(num_qubits))\n",
    "qc.barrier()\n",
    "\n",
    "#Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 381.577x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Reverse the state so it’s in proper qubit ordering\n",
    "N = N[::-1]\n",
    "\n",
    "# Encode N into our circuit\n",
    "for idx in range(num_qubits):\n",
    "    if N[idx] == '0':\n",
    "        qc.x(idx)\n",
    "qc.barrier()\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 622.377x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create the Grover oracle for our 3-qubit quantum circuit\n",
    "qc.h(2)\n",
    "qc.ccx(0, 1, 2)\n",
    "qc.h(2)\n",
    "qc.barrier()\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 742.777x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Reset the value after the oracle\n",
    "for idx in range(num_qubits):\n",
    "    if N[idx] == '0':\n",
    "        qc.x(idx)\n",
    "qc.barrier()\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 923.377x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Set all qubits in superposition\n",
    "qc.h(range(num_qubits))\n",
    "qc.x(range(num_qubits))\n",
    "qc.barrier()\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1164.18x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply another oracle, same as the previous, \n",
    "qc.h(2)\n",
    "qc.ccx(0, 1, 2)\n",
    "qc.h(2)\n",
    "qc.barrier()\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1344.78x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Reapply the X rotations on all qubits\n",
    "qc.x(range(num_qubits))\n",
    "\n",
    "qc.barrier()\n",
    "\n",
    "# Reapply Hadamard gates to all qubits\n",
    "qc.h(range(num_qubits))\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Add measurement operators\n",
    "qc.measure_all()\n",
    "\n",
    "# Draw the circuit\n",
    "qc.draw()\n",
    "\n",
    "# Run on the qasm simulator\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "# Execute the circuit on the backend\n",
    "job = execute(qc, backend, shots=1024)\n",
    "\n",
    "# Extract the results\n",
    "results = job.result()\n",
    "counts = results.get_counts(qc)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'000': 45, '001': 27, '010': 32, '011': 39, '100': 25, '101': 36, '110': 785, '111': 35}\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Run on the qasm simulator\n",
    "backend = Aer.get_backend('qasm_simulator')\n",
    "\n",
    "# Execute the circuit on the backend\n",
    "job = execute(qc, backend, shots=1024)\n",
    "\n",
    "# Extract the results\n",
    "results = job.result()\n",
    "counts = results.get_counts(qc)\n",
    "\n",
    "# Print and plot results\n",
    "print(counts)\n",
    "plot_histogram(counts)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Run Grover's algorithm on a quantum computer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Set backend:  ibmq_vigo\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c6d22e287075437ba102f67fd644c0ce",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Accordion(children=(VBox(layout=Layout(max_width='710px', min_width='710px')),), layout=Layout(max_height='500…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "$('div.job_widget')\n",
       "        .detach()\n",
       "        .appendTo($('#header'))\n",
       "        .css({\n",
       "            'z-index': 999,\n",
       "             'position': 'fixed',\n",
       "            'box-shadow': '5px 5px 5px -3px black',\n",
       "            'opacity': 0.95,\n",
       "            'float': 'left,'\n",
       "        })\n",
       "        "
      ],
      "text/plain": [
       "<IPython.core.display.Javascript object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Execute the circuit on the least busy quantum computer\n",
    "from qiskit.providers.ibmq import least_busy\n",
    "\n",
    "backend = least_busy(provider.backends(filters=lambda x: x.configuration().n_qubits >= (num_qubits) and\n",
    "                                   not x.configuration().simulator and x.status().operational==True))\n",
    "print(\"Set backend: \", backend)\n",
    "\n",
    "# Launch the job watcher widget\n",
    "%qiskit_job_watcher\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'000': 36, '001': 80, '010': 112, '011': 80, '100': 104, '101': 66, '110': 458, '111': 88}\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Execute the circuit on the backend\n",
    "job = execute(qc, backend, shots=1024)\n",
    "\n",
    "# Extract the results\n",
    "results = job.result()\n",
    "counts = results.get_counts(qc)\n",
    "\n",
    "# Print and plot results\n",
    "print(counts)\n",
    "plot_histogram(counts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td>Qiskit</td><td>0.20.1</td></tr><tr><td>Terra</td><td>0.15.2</td></tr><tr><td>Aer</td><td>0.6.1</td></tr><tr><td>Ignis</td><td>0.4.0</td></tr><tr><td>Aqua</td><td>0.7.5</td></tr><tr><td>IBM Q Provider</td><td>0.8.0</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.7.8 | packaged by conda-forge | (default, Jul 31 2020, 02:25:08) \n",
       "[GCC 7.5.0]</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>31.40900421142578</td></tr><tr><td colspan='2'>Thu Sep 10 21:01:21 2020 UTC</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
